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2 years ago

Find the equation of this line:

Mathematics

1 answer:

Artist 52 [7]2 years ago

6 0

Answer:

y = 6x + 3

Step-by-step explanation:

Find the slope using the formula rise/run or Change in y/Change in x. We can find the slope by plotting 2 points on the graph. We observe that the points (0,3) and (3,0) are on the graph. Let's use this to find our slope.

First, move 3 spaces down from (0,3). Then, move 3 spaces to the right from (0,0). Count the amount you moved: 6. Therefore, the slope is 6

Next, find the y intercept. To find it, we plug in two points for x and y to solve. However, in this case, the y-intercept is already given. This point is (0,3), on the vertical line. Therfore, the y-intercept is 3.

Your equation, in slope-intercept form, now looks like this: y = 6x + 3 (y = mx + b)

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HELP 100 POINTS The population of a city is modeled with the function P=250,000e^0.013t, where t is the number of years since 2

erma4kov [3.2K]

Pretty difficult problem, but that’s why I’m here.
First we need to identify what we’re looking for, which is t. So now plug 450k into equation and solve for t.
450000 = 250000e^0.013t
Now to solve this, we need to remember this rule: if you take natural log of e you can remove x from exponent. And natural log of e is 1.
Basically ln(e^x) = xln(e) = 1*x
So knowing this first we need to isolate e
450000/250000 = e^0.013t
1.8 = e^0.013t
Now take natural log of both
Ln(1.8) = ln(e^0.013t)
Ln(1.8) = 0.013t*ln(e)
Ln(1.8) = 0.013t * 1
Now solve for t
Ln(1.8)/0.013 = t
T= 45.21435 years
Now just to check our work plug that into original equation which we get:
449999.94 which is basically 500k (just with an error caused by lack of decimals)
So our final solution will be in the 45th year after about 2 and a half months it will reach 450k people.

6 0

1 year ago

How do you convert 17 cmon minute to miles an hour

eimsori [14]

Answer:

0.006 miles per hour

Step-by-step explanation:

We are given;

Speed in cm per minute ( 17 cm per min)

We are required to convert cm per minute to miles an hour

we need to know that;

1 miles = 160934 cm

1 hour = 60 minutes

We can convert 17 cm to miles and 1 minute to hours

17 cm = 17 ÷ 160934 cm

= 17/160934

1 minute = 1/60 hour

Therefore;

In miles per hour;

= (17/160934) ÷ (1/60)

= 0.00634 miles per hour

= 0.006 miles per hour

Therefore, 17 cm per minute is equivalent to 0.006 miles per hour

4 0

3 years ago

Erica says that 1/5 of the national flag of Thailand shown on the right is blue. what’s wrong?

Angelina_Jolie [31]

Answer:

The blue portion of the flag is actually 2/6 or 1/3 of the flag

Step-by-step explanation:

If you look at the size of the blue portion of the line it takes up twice the space as the white part. Imagine a small line drawn through the middle of the blue rectangle, now you can see that the flag is split up into 6 parts, rather then 5! Since we now have 2/6 of the flag being taken up by blue, that can be reduced down to 1/3 of the flag covered in blue.

3 0

3 years ago

Calculate the sum of each expression. Arrange the expressions in the order of their value from largest to smallest.

RideAnS [48]

Answer:

Step-by-step explanation:

3 0

1 year ago

Read 2 more answers

Which of the following could be the perimeter of a rectangle with an area of 16 square inches?

Butoxors [25]

no doubt it's 16 inches

8 0

3 years ago

Find the equation of this line:​

Find the equation of this line: